Existence and regularity of inverse problem for the nonlinear fractional Rayleigh‐Stokes equations
Ngoc Tran Bao, Luc Nguyen Hoang, Vo Van Au, Nguyen Huy Tuan, Yong Zhou
Abstract
This paper investigates an inverse problem for fractional Rayleigh‐Stokes equations with nonlinear source. The fractional derivative in time is taken in the sense of Riemann‐Liouville. The proposed problem has many applications in some non‐Newtonian fluids. We obtain some results on the existence and regularity of mild solutions.
Topics & Concepts
MathematicsNonlinear systemFractional calculusInverseMathematical analysisInverse problemDerivative (finance)Rayleigh scatteringApplied mathematicsPhysicsGeometryQuantum mechanicsOpticsFinancial economicsEconomicsDifferential Equations and Boundary ProblemsFractional Differential Equations SolutionsNumerical methods in inverse problems